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Finding the Fourth Proportional to 299,534.34, 413,341.97 and 163,542.07

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Solution

The fourth proportional to 299,534.34, 413,341.97 and 163,542.07 is: 225,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,534.34 : 413,341.97 = 163,542.07 : x
  2. Step 2: Convert to fraction form
    299,534.34/413,341.97 = 163,542.07/x
  3. Step 3: Cross multiply
    299,534.34x = 413,341.97 × 163,542.07
  4. Step 4: Simplify right side
    299,534.34x = 67,598,801,391.68
  5. Step 5: Solve for x
    x = 67,598,801,391.68/299,534.34
  6. Step 6: Final answer
    x = 225,679.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.